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Finding the Third Proportional to 194,768.75 and 293,434.75

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Solution

The third proportional to 194,768.75 and 293,434.75 is: 442,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,768.75 : 293,434.75 = 293,434.75 : x
  2. Step 2: Convert to fraction form
    194,768.75/293,434.75 = 293,434.75/x
  3. Step 3: Cross multiply
    194,768.75x = 293,434.75 × 293,434.75
  4. Step 4: Simplify right side
    194,768.75x = 86,103,952,507.56
  5. Step 5: Solve for x
    x = 86,103,952,507.56/194,768.75
  6. Step 6: Final answer
    x = 442,083.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.